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Finding the Fourth Proportional to 4,282.72, 6,423.98 and 1,974.22

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Solution

The fourth proportional to 4,282.72, 6,423.98 and 1,974.22 is: 2,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.72 : 6,423.98 = 1,974.22 : x
  2. Step 2: Convert to fraction form
    4,282.72/6,423.98 = 1,974.22/x
  3. Step 3: Cross multiply
    4,282.72x = 6,423.98 × 1,974.22
  4. Step 4: Simplify right side
    4,282.72x = 12,682,349.80
  5. Step 5: Solve for x
    x = 12,682,349.80/4,282.72
  6. Step 6: Final answer
    x = 2,961.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.